A power is also an exponent which is how many times you multiply a number by itself to get a product
To get 100 as a product of 10 times itself you would multiply 10x10 which is the same as 10^2
Let f(x) = y
y = 2^x
x = 2^y
Solve for y.
ln x = ln(2^y)
ln x = y ln 2
ln x/ln 2 = y
Replace y with f^(-1) x.
f^(-1) x = ln x/ln 2
We now know f(x) and f^(-1) x.
Use your graphing calculator to graph the function and its inverse on the same xy-plane. If you don't have a graphing calculator, use DESMOS online.
Good luck.
100 feet in 5 seconds = 200 feet in 10 seconds
1 minute = 60 seconds
10 seconds X 6 = 1 Minute
200 feet x 6=1200 feet
Yes, because if you multiply the top and bottom of 1/2 by 3 you get 3/6, so they are equal :)
